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Optimal eigenvalues estimate for the Dirac operator on domains with boundary

Simon Raulot
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Abstract

We give a lower bound for the eigenvalues of the Dirac operator on a compact domain of a Riemannian spin manifold under the $\MIT$ bag boundary condition. The limiting case is characterized by the existence of an imaginary Killing spinor.

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Simon Raulot. 2006-03-21. Optimal eigenvalues estimate for the Dirac operator on domains with boundary. https://doi.org/10.1007/s11005-005-0005-y

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